紀要論文

紀要論文

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Osaka Journal of Mathematics. 2022, 59(3), p. 591-610

ON THE VALUES OF UNIPOTENT CHARACTERS OF FINITE CHEVALLEY GROUPS OF TYPE E_7 IN CHARACTERISTIC 2

Hetz, Jonas

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2022-07

Let G be a finite group of Lie type. In order to determine the character table of G, Lusztig developed the theory of character sheaves. In this framework, one has to find the transformation between two bases for the space of class functions on G, one of them being the irreducible characters of G, the other one consisting of characteristic functions associated to character sheaves. In principle, this has been achieved by Lusztig and Shoji, but the underlying process involves some scalars which are still unknown in many cases. The problem of specifying these scalars can be reduced to considering cuspidal character sheaves. We will deal with the latter for the specific case where G = E_7(q), and q is a power of the bad prime p = 2 for E_7.

10.18910/88488

88488

ON THE VALUES OF UNIPOTENT CHARACTERS OF FINITE CHEVALLEY GROUPS OF TYPE E_7 IN CHARACTERISTIC 2

Hetz, Jonas

Osaka University and Osaka City University, Departments of Mathematics

英語

2022-07

Osaka Journal of Mathematics

59

3

591

610

https://hdl.handle.net/11094/88488

10.18910/88488

https://doi.org/10.18910/88488